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Finding the Third Proportional to 454,342.50 and 712,791.75

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Solution

The third proportional to 454,342.50 and 712,791.75 is: 1,118,257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,342.50 : 712,791.75 = 712,791.75 : x
  2. Step 2: Convert to fraction form
    454,342.50/712,791.75 = 712,791.75/x
  3. Step 3: Cross multiply
    454,342.50x = 712,791.75 × 712,791.75
  4. Step 4: Simplify right side
    454,342.50x = 508,072,078,868.06
  5. Step 5: Solve for x
    x = 508,072,078,868.06/454,342.50
  6. Step 6: Final answer
    x = 1,118,257.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.